Figure extracted from The Ursa Major Cluster of Galaxies. II.
The panel on the left illustrates the relationship between HI line profile widths and I band absolute magnitudes for Ursa Major galaxies. Filled symbols are high surface brightness galaxies and open symbols are low surface brightness galaxies. The numbers 1,2,3 identify three high/low surface brightness pairs. The letters a,b identify two bulge/no-bulge pairs. The straight line is a regression with errors in line widths.
The panel on the right is a plot of exponential disk central surface brightnesses and scale lengths. Symbols have the same meaning as on the left. There is sample completeness above the straight line. Note how the high/low surface brightness pairs have separated into distinct regions of the diagram.
Figures intended for stillborn article.
The two panels compare analyses of an N-body simulation and real data. There are two basic free parameters in the Least Action studies; mass, plotted on the vertical axis, and age of the universe, plotted on the horizontal axis. With a mass-age choice, the modeling produces distances for all the components. A chi-square evaluator is formed by comparing model and observed distances. These figures are maps of the chi-square parameter. The heavy contours are at 2 sigma significance. The vertical scales are normalized so that the tops of the panels correspond to a closed universe.
The top panel is the chi-square map for a CDM Omega=1 N-body simulation. There is softening of the force law on scales below 250 km/s to mimic the effect of extended mass about condensations and interpenetrating halos. Ho=50 in this simulation.
The bottom panel is the chi-square map for the Local Supercluster. The force law is softened on scales less than 300 km/s. Ho=85 is consistent with the modeling although the horizontal scale can be shifted by revision of the distance scale zero-point. The main conclusion is that the Local Supercluster is NOT well represented by a standard CDM model. Preliminary indications are that models with halos extending effectively to 400 km/s give the best fits, with Omega approximately 0.25.